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Finding the Third Proportional to 189,232 and 412,064

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Solution

The third proportional to 189,232 and 412,064 is: 897,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,232 : 412,064 = 412,064 : x
  2. Step 2: Convert to fraction form
    189,232/412,064 = 412,064/x
  3. Step 3: Cross multiply
    189,232x = 412,064 × 412,064
  4. Step 4: Simplify right side
    189,232x = 169,796,740,096
  5. Step 5: Solve for x
    x = 169,796,740,096/189,232
  6. Step 6: Final answer
    x = 897,294.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.